Magnetic Field Analysis Program for High-Speed Inductance Calculation
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Solution Overview
Problem
Conventional methods fail to perform high-speed and high-accuracy calculations of inductance for systems with an AC magnetic field superimposed on a DC magnetic field, making them impractical for use in designing electrical equipment like reactors and motors.
Innovation Solution
A magnetic field analysis program that uses frequency response analysis to calculate inductance by inputting DC magnetic flux density, AC current amplitude and frequency, and initial magnetization curves, ensuring the sum of AC and DC magnetic values aligns with the initial magnetization curve, thereby achieving high accuracy and speed.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If transient analysis is carried out to determine inductance with high accuracy, then calculation accuracy is improved, but analysis time increases significantly
Solution Approach 1:
The patent changes the analysis method from transient analysis to frequency response analysis, transforming the problem from time-domain to frequency-domain. This parameter change allows direct calculation of inductance at specific frequencies without performing time-consuming transient simulations, thereby maintaining accuracy while significantly reducing analysis time.
Solution Approach 2:
The patent replaces the transient analysis mechanism with frequency response analysis. By using frequency response analysis, the system directly computes steady-state magnetic field distributions at specified frequencies, substituting the time-marching process of transient analysis with a more efficient frequency-domain solution approach.
2Productivity
If single static magnetic field analysis is used to achieve high speed calculation, then analysis time is reduced, but calculation accuracy deteriorates due to neglecting eddy current
Solution Approach 1:
The patent changes from static magnetic field analysis to frequency response analysis. This transformation allows the inclusion of eddy current effects through frequency-dependent permeability models while maintaining the computational efficiency of steady-state analysis, thus improving accuracy without sacrificing calculation speed.
Solution Approach 2:
The patent introduces frequency response analysis as an intermediary approach between static analysis and transient analysis. This intermediary method incorporates eddy current effects through complex permeability models and frequency-dependent material properties, providing a middle ground that captures dynamic effects while avoiding the computational cost of full transient simulation.
3Productivity
If frequency response analysis is used instead of transient analysis, then analysis speed is improved, but accurate modeling of initial magnetization curve and minor loop relationship deteriorates
Solution Approach 1:
The patent employs frequency response analysis with frequency-dependent material parameters including complex permeability. By using frequency response analysis, the system can model the relationship between initial magnetization curve and minor loops through frequency-dependent B-H characteristics, maintaining accuracy while achieving faster computation compared to transient analysis.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
Enables high-speed and high-accuracy calculations of inductance, allowing for precise modeling of superimposed direct current characteristics and low-to-high frequency characteristics, facilitating the evaluation of high-frequency phenomena and optimizing motor drive design.
Implementation Method 1
a magnetic field analysis program for analyzing an AC magnetic field through a frequency response analysis
Implementation Method 2
inductance related to an AC magnetic field superimposed on a DC magnetic field
Implementation Method 3
initial magnetization curve of a magnetic material
Data Source
AI summary
The present invention provides a magnetic field analysis program and a magnetic field analysis method for calculating inductance related to an AC magnetic field superimposed on a DC magnetic field with a high degree of accuracy at high speed. The magnetic field analysis program is a program for analyzing an AC magnetic field through a frequency response analysis, and causes a computer to carry out: a process of inputting a DC magnetic flux density or a DC magnetic field strength, the amplitude and the frequency of an alternating current, and the initial magnetization curve of the magnetic material of an analysis object, calculating a DC magnetic field strength when a DC magnetic flux density is input, and calculating a DC magnetic flux density when a DC magnetic field strength is input (S100); a process of calculating an AC magnetic flux density and an AC magnetic field strength by carrying out the frequency response analysis using the amplitude and the frequency of the alternating current (S104); and a process of finding such a solution that the sum of the maximum value of the AC magnetic flux density obtained through the frequency response analysis and the DC magnetic flux density becomes equal to the magnetic flux density determined from the sum of the maximum value of the AC magnetic field strength obtained through the frequency response analysis and the DC magnetic field strength, and the initial magnetization curve, with a desired degree of accuracy (S105, S106).